Will the new flooring run into all rooms? I ask because even "waterproof" laminate doesn't hold up well to moisture, so it's not ideal for kitchens, bathrooms etc. LVP is a more durable option, but with that much real wood you really may want to consider real hardwood. Faux wood and real wood don't tend to mix great.

As for color, look for something in a light-medium natural stain. Something where the grain or knots are the color of the trim but don't try to find floor the exact color fo the trim. A near match is worse than contrast.

Your trim appears to have some 'mahogany' stain to it. That normally means a reddish tinge to it. You are welcome to look for flooring that is in the same COLOUR family (red oak would work...or cherry) that is a step or two LIGHTER than the trim. When trim is DARKER than the floors, it can look very clean and crisp. That's why you want to go lighter. That and the fact that any floor other than white carpet/tile will darken the house.